Optimal (r, Q) policy in a stochastic inventory system with limited resource under incremental quantity discount
•We model a practical problem in stochastic inventory systems which has not been investigated yet.•We prove the essential properties of an optimal solution.•Presenting an algorithm based on the optimal properties which is able to find the optimal solution of the problem.•We examine our algorithm eff...
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| Veröffentlicht in: | Computers & industrial engineering Jg. 103; S. 59 - 69 |
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| Abstract | •We model a practical problem in stochastic inventory systems which has not been investigated yet.•We prove the essential properties of an optimal solution.•Presenting an algorithm based on the optimal properties which is able to find the optimal solution of the problem.•We examine our algorithm efficiency via generating and solving some numerical examples.
Resource constraint such as constraint on purchasing budget, and quantity discount are two common characteristics of inventory systems. While interacting these characteristics in an actual inventory system is important in practice, most of the existing (r, Q) models in the literature have considered them separately. This paper investigates a single-item (r, Q) model with a limited resource and incremental quantity discount under perpetual review where demand is stochastic and discrete. The lead time is constant and unsatisfied demands are backordered. Most actual inventory systems tend to offset resource shortages by renting the missing amount of the resource, instead of keeping a surplus resource in the system. Therefore, considering a soft resource constraint, beside the incremental quantity discount where the resource is price-dependent, makes the model more practical. An optimization problem is formulated to find an optimal (r, Q) policy which minimizes the expected system costs. Based on the mathematical properties of the cost function, the search region for the optimal solution of the problem is reduced to a one-dimensional search region which is proven to be a finite enumerable set of order quantities. A one-dimensional search algorithm is presented to find the optimal (r, Q) policy through this region. Finally, some numerical examples are provided to demonstrate the algorithm performance and its sensitivity to parameters variation. |
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| AbstractList | •We model a practical problem in stochastic inventory systems which has not been investigated yet.•We prove the essential properties of an optimal solution.•Presenting an algorithm based on the optimal properties which is able to find the optimal solution of the problem.•We examine our algorithm efficiency via generating and solving some numerical examples.
Resource constraint such as constraint on purchasing budget, and quantity discount are two common characteristics of inventory systems. While interacting these characteristics in an actual inventory system is important in practice, most of the existing (r, Q) models in the literature have considered them separately. This paper investigates a single-item (r, Q) model with a limited resource and incremental quantity discount under perpetual review where demand is stochastic and discrete. The lead time is constant and unsatisfied demands are backordered. Most actual inventory systems tend to offset resource shortages by renting the missing amount of the resource, instead of keeping a surplus resource in the system. Therefore, considering a soft resource constraint, beside the incremental quantity discount where the resource is price-dependent, makes the model more practical. An optimization problem is formulated to find an optimal (r, Q) policy which minimizes the expected system costs. Based on the mathematical properties of the cost function, the search region for the optimal solution of the problem is reduced to a one-dimensional search region which is proven to be a finite enumerable set of order quantities. A one-dimensional search algorithm is presented to find the optimal (r, Q) policy through this region. Finally, some numerical examples are provided to demonstrate the algorithm performance and its sensitivity to parameters variation. Resource constraint such as constraint on purchasing budget, and quantity discount are two common characteristics of inventory systems. While interacting these characteristics in an actual inventory system is important in practice, most of the existing (r, Q) models in the literature have considered them separately. This paper investigates a single-item (r, Q) model with a limited resource and incremental quantity discount under perpetual review where demand is stochastic and discrete. The lead time is constant and unsatisfied demands are backordered. Most actual inventory systems tend to offset resource shortages by renting the missing amount of the resource, instead of keeping a surplus resource in the system. Therefore, considering a soft resource constraint, beside the incremental quantity discount where the resource is price-dependent, makes the model more practical. An optimization problem is formulated to find an optimal (r, Q) policy which minimizes the expected system costs. Based on the mathematical properties of the cost function, the search region for the optimal solution of the problem is reduced to a one-dimensional search region which is proven to be a finite enumerable set of order quantities. A one-dimensional search algorithm is presented to find the optimal (r, Q) policy through this region. Finally, some numerical examples are provided to demonstrate the algorithm performance and its sensitivity to parameters variation. |
| Author | Mirmohammadi, S. Hamid Tamjidzad, Shahrzad |
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| Cites_doi | 10.1016/j.ejor.2010.02.038 10.1007/s11590-010-0245-3 10.1016/j.cie.2010.08.022 10.1016/j.cor.2011.12.012 10.1287/opre.1070.0394 10.1016/j.ejor.2006.12.019 10.1287/opre.40.4.808 10.1287/opre.7.3.362 10.1287/opre.49.5.790.10613 10.1016/j.ejor.2013.02.054 10.1016/j.ijpe.2010.06.008 10.1016/j.ijpe.2013.12.009 10.1080/07408170590918254 10.1016/j.ejor.2015.05.073 10.1016/S0377-2217(03)00363-1 10.1016/j.cie.2010.01.010 10.1287/opre.30.4.709 10.1287/mnsc.38.1.87 10.1007/s10479-012-1125-2 10.1007/s10479-012-1071-z 10.1016/j.cor.2011.10.018 10.1016/S0305-0548(96)00031-7 10.4236/ajor.2013.36051 10.1287/opre.22.1.65 10.1007/s10479-014-1590-x |
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| Keywords | Stochastic discrete demand (r, Q) policy Limited price-dependent resource Inventory Incremental quantity discount |
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| References | Mousavi, Pasandideh (b0085) 2011 Mirmohammadi, Eshghi (b0080) 2012; 39 Ghalebsaz-Jeddi, Shultes, Haji (b0030) 2004; 158 Hariga (b0055) 2010; 128 Zhao, Qiu, Xie, He (b0145) 2012; 39 Federgruen, Wang (b0010) 2013; 208 Zhao, Fan, Liu, Xie (b0140) 2007; 55 Zhang (b0135) 2010; 206 Zipkin (b0155) 2000; Vol. 2 Galliher, Morse, Simond (b0025) 1959; 7 Haksever, Moussourakis (b0050) 2008; 184 Sahin (b0110) 1982; 30 Moussourakis, Haksever (b0095) 2013; 3 Minner, Silver (b0075) 2005; 37 Moussourakis, Haksever (b0090) 2008; 19 Kundu, Chakrabarti (b0070) 2012; 6 Zheng (b0150) 1992; 38 Federgruen, Zheng (b0015) 1992; 40 Harris, F. W. (1913). How many parts to make at once. Tamjidzad, Mirmohammadi (b0125) 2015; 247 Güder, Zydiak (b0040) 1997; 24 Sivazlian (b0115) 1974; 22 Wang (b0130) 2010; 58 Ang, Song, Wang, Zhang (b0005) 2013; 229 Feng, Sun (b0020) 2001; 49 Tajbakhsh (b0120) 2010; 59 Katehakis, Smit (b0065) 2012; 200 Olsson (b0105) 2014; 217 Murota (b0100) 2003; Vol. 10 Glock, Grosse, Ries (b0035) 2014; 155 Hadley, Whitin (b0045) 1963 Haksever (10.1016/j.cie.2016.11.012_b0050) 2008; 184 Mousavi (10.1016/j.cie.2016.11.012_b0085) 2011 Tajbakhsh (10.1016/j.cie.2016.11.012_b0120) 2010; 59 Zipkin (10.1016/j.cie.2016.11.012_b0155) 2000; Vol. 2 Katehakis (10.1016/j.cie.2016.11.012_b0065) 2012; 200 Sahin (10.1016/j.cie.2016.11.012_b0110) 1982; 30 Federgruen (10.1016/j.cie.2016.11.012_b0010) 2013; 208 Hadley (10.1016/j.cie.2016.11.012_b0045) 1963 Minner (10.1016/j.cie.2016.11.012_b0075) 2005; 37 Ghalebsaz-Jeddi (10.1016/j.cie.2016.11.012_b0030) 2004; 158 Mirmohammadi (10.1016/j.cie.2016.11.012_b0080) 2012; 39 Moussourakis (10.1016/j.cie.2016.11.012_b0090) 2008; 19 Zhao (10.1016/j.cie.2016.11.012_b0145) 2012; 39 Tamjidzad (10.1016/j.cie.2016.11.012_b0125) 2015; 247 10.1016/j.cie.2016.11.012_b0060 Olsson (10.1016/j.cie.2016.11.012_b0105) 2014; 217 Zheng (10.1016/j.cie.2016.11.012_b0150) 1992; 38 Zhang (10.1016/j.cie.2016.11.012_b0135) 2010; 206 Glock (10.1016/j.cie.2016.11.012_b0035) 2014; 155 Galliher (10.1016/j.cie.2016.11.012_b0025) 1959; 7 Kundu (10.1016/j.cie.2016.11.012_b0070) 2012; 6 Feng (10.1016/j.cie.2016.11.012_b0020) 2001; 49 Ang (10.1016/j.cie.2016.11.012_b0005) 2013; 229 Hariga (10.1016/j.cie.2016.11.012_b0055) 2010; 128 Moussourakis (10.1016/j.cie.2016.11.012_b0095) 2013; 3 Murota (10.1016/j.cie.2016.11.012_b0100) 2003; Vol. 10 Wang (10.1016/j.cie.2016.11.012_b0130) 2010; 58 Zhao (10.1016/j.cie.2016.11.012_b0140) 2007; 55 Güder (10.1016/j.cie.2016.11.012_b0040) 1997; 24 Federgruen (10.1016/j.cie.2016.11.012_b0015) 1992; 40 Sivazlian (10.1016/j.cie.2016.11.012_b0115) 1974; 22 |
| References_xml | – volume: 208 start-page: 155 year: 2013 end-page: 186 ident: b0010 article-title: Monotonicity properties of a class of stochastic inventory systems publication-title: Annals of Operations Research – volume: 217 start-page: 399 year: 2014 end-page: 423 ident: b0105 article-title: Analysis of inventory policies for perishable items with fixed leadtimes and lifetimes publication-title: Annals of Operations Research – volume: 30 start-page: 709 year: 1982 end-page: 724 ident: b0110 article-title: On the objective function behavior in ( publication-title: Operations Research – volume: 19 start-page: 263 year: 2008 end-page: 283 ident: b0090 article-title: A practical model for ordering in multi-product multi-constraint inventory systems with all-units quantity discounts publication-title: International Journal of Information and Management Sciences – volume: 59 start-page: 1022 year: 2010 end-page: 1024 ident: b0120 article-title: On the distribution free continuous-review inventory model with a service level constraint publication-title: Computers & Industrial Engineering – volume: 155 start-page: 39 year: 2014 end-page: 51 ident: b0035 article-title: The lot sizing problem: A tertiary study publication-title: International Journal of Production Economics – volume: 40 start-page: 808 year: 1992 end-page: 813 ident: b0015 article-title: An efficient algorithm for computing an optimal ( publication-title: Operations Research – volume: 22 start-page: 65 year: 1974 end-page: 71 ident: b0115 article-title: A continuous-review ( publication-title: Operations Research – volume: 229 start-page: 95 year: 2013 end-page: 105 ident: b0005 article-title: On properties of discrete ( publication-title: European Journal of Operational Research – volume: 39 start-page: 2368 year: 2012 end-page: 2379 ident: b0145 article-title: Computing ( publication-title: Computers & Operations Research – volume: 184 start-page: 930 year: 2008 end-page: 945 ident: b0050 article-title: Determining order quantities in multi-product inventory systems subject to multiple constraints and incremental discounts publication-title: European Journal of Operational Research – volume: 128 start-page: 153 year: 2010 end-page: 158 ident: b0055 article-title: A single-item continuous review inventory problem with space restriction publication-title: International Journal of Production Economics – reference: Harris, F. W. (1913). How many parts to make at once. – volume: 37 start-page: 469 year: 2005 end-page: 479 ident: b0075 article-title: Multi-product batch replenishment strategies under stochastic demand and a joint capacity constraint publication-title: IIE Transactions – volume: 39 start-page: 1771 year: 2012 end-page: 1778 ident: b0080 article-title: A hybrid polynomial-time algorithm for the dynamic quantity discount lot size model with resale publication-title: Computers & Operations Research – start-page: 37 year: 2011 end-page: 44 ident: b0085 article-title: A multi-periodic multi-product inventory control problem with discount: GA optimization algorithm publication-title: Journal of Optimization in Industrial Engineering – volume: 38 start-page: 87 year: 1992 end-page: 103 ident: b0150 article-title: On properties of stochastic inventory systems publication-title: Management Science – volume: 200 start-page: 279 year: 2012 end-page: 298 ident: b0065 article-title: On computing optimal ( publication-title: Annals of Operations Research – volume: 158 start-page: 456 year: 2004 end-page: 469 ident: b0030 article-title: A multi-product continuous review inventory system with stochastic demand, backorders, and a budget constraint publication-title: European Journal of Operational Research – volume: 58 start-page: 809 year: 2010 end-page: 813 ident: b0130 article-title: Some remarks on an optimal order quantity and reorder point when supply and demand are uncertain publication-title: Computers & Industrial Engineering – volume: 206 start-page: 350 year: 2010 end-page: 360 ident: b0135 article-title: The multi-product newsboy problem with supplier quantity discounts and a budget constraint publication-title: European Journal of Operational Research – year: 1963 ident: b0045 article-title: Analysis of inventory systems – volume: 7 start-page: 362 year: 1959 end-page: 384 ident: b0025 article-title: Dynamics of two classes of continuous-review inventory systems publication-title: Operations Research – volume: 3 start-page: 521 year: 2013 ident: b0095 article-title: Models for ordering multiple products subject to multiple constraints, quantity and freight discounts publication-title: American Journal of Operations Research – volume: Vol. 10 year: 2003 ident: b0100 publication-title: Discrete convex analysis – volume: Vol. 2 year: 2000 ident: b0155 publication-title: Foundations of inventory management – volume: 49 start-page: 790 year: 2001 end-page: 795 ident: b0020 article-title: Computing the optimal replenishment policy for inventory systems with random discount opportunities publication-title: Operations Research – volume: 55 start-page: 854 year: 2007 end-page: 865 ident: b0140 article-title: Storage-space capacitated inventory system with ( publication-title: Operations Research – volume: 6 start-page: 299 year: 2012 end-page: 313 ident: b0070 article-title: A multi-product continuous review inventory system in stochastic environment with budget constraint publication-title: Optimization Letters – volume: 24 start-page: 61 year: 1997 end-page: 71 ident: b0040 article-title: Non-stationary ordering policies for multi-item inventory systems subject to a single resource constraint and quantity discounts publication-title: Computers & Operations Research – volume: 247 start-page: 93 year: 2015 end-page: 100 ident: b0125 article-title: An optimal ( publication-title: European Journal of Operational Research – year: 1963 ident: 10.1016/j.cie.2016.11.012_b0045 – volume: 206 start-page: 350 issue: 2 year: 2010 ident: 10.1016/j.cie.2016.11.012_b0135 article-title: The multi-product newsboy problem with supplier quantity discounts and a budget constraint publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2010.02.038 – volume: 6 start-page: 299 issue: 2 year: 2012 ident: 10.1016/j.cie.2016.11.012_b0070 article-title: A multi-product continuous review inventory system in stochastic environment with budget constraint publication-title: Optimization Letters doi: 10.1007/s11590-010-0245-3 – volume: 59 start-page: 1022 issue: 4 year: 2010 ident: 10.1016/j.cie.2016.11.012_b0120 article-title: On the distribution free continuous-review inventory model with a service level constraint publication-title: Computers & Industrial Engineering doi: 10.1016/j.cie.2010.08.022 – volume: 39 start-page: 2368 issue: 10 year: 2012 ident: 10.1016/j.cie.2016.11.012_b0145 article-title: Computing (r, Q) policy for an inventory system with limited sharable resource publication-title: Computers & Operations Research doi: 10.1016/j.cor.2011.12.012 – volume: 55 start-page: 854 issue: 5 year: 2007 ident: 10.1016/j.cie.2016.11.012_b0140 article-title: Storage-space capacitated inventory system with (r, Q) policies publication-title: Operations Research doi: 10.1287/opre.1070.0394 – volume: 184 start-page: 930 issue: 3 year: 2008 ident: 10.1016/j.cie.2016.11.012_b0050 article-title: Determining order quantities in multi-product inventory systems subject to multiple constraints and incremental discounts publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2006.12.019 – volume: 40 start-page: 808 issue: 4 year: 1992 ident: 10.1016/j.cie.2016.11.012_b0015 article-title: An efficient algorithm for computing an optimal (r, Q) policy in continuous review stochastic inventory systems publication-title: Operations Research doi: 10.1287/opre.40.4.808 – volume: 7 start-page: 362 issue: 3 year: 1959 ident: 10.1016/j.cie.2016.11.012_b0025 article-title: Dynamics of two classes of continuous-review inventory systems publication-title: Operations Research doi: 10.1287/opre.7.3.362 – volume: 49 start-page: 790 issue: 5 year: 2001 ident: 10.1016/j.cie.2016.11.012_b0020 article-title: Computing the optimal replenishment policy for inventory systems with random discount opportunities publication-title: Operations Research doi: 10.1287/opre.49.5.790.10613 – start-page: 37 year: 2011 ident: 10.1016/j.cie.2016.11.012_b0085 article-title: A multi-periodic multi-product inventory control problem with discount: GA optimization algorithm publication-title: Journal of Optimization in Industrial Engineering – volume: 229 start-page: 95 issue: 1 year: 2013 ident: 10.1016/j.cie.2016.11.012_b0005 article-title: On properties of discrete (r, q) and (s, T) inventory systems publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2013.02.054 – volume: 128 start-page: 153 issue: 1 year: 2010 ident: 10.1016/j.cie.2016.11.012_b0055 article-title: A single-item continuous review inventory problem with space restriction publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2010.06.008 – volume: 155 start-page: 39 year: 2014 ident: 10.1016/j.cie.2016.11.012_b0035 article-title: The lot sizing problem: A tertiary study publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2013.12.009 – volume: 37 start-page: 469 issue: 5 year: 2005 ident: 10.1016/j.cie.2016.11.012_b0075 article-title: Multi-product batch replenishment strategies under stochastic demand and a joint capacity constraint publication-title: IIE Transactions doi: 10.1080/07408170590918254 – volume: 247 start-page: 93 issue: 1 year: 2015 ident: 10.1016/j.cie.2016.11.012_b0125 article-title: An optimal (r, Q) policy in a stochastic inventory system with all-units quantity discounts and limited sharable resource publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2015.05.073 – volume: 158 start-page: 456 issue: 2 year: 2004 ident: 10.1016/j.cie.2016.11.012_b0030 article-title: A multi-product continuous review inventory system with stochastic demand, backorders, and a budget constraint publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(03)00363-1 – volume: 58 start-page: 809 issue: 4 year: 2010 ident: 10.1016/j.cie.2016.11.012_b0130 article-title: Some remarks on an optimal order quantity and reorder point when supply and demand are uncertain publication-title: Computers & Industrial Engineering doi: 10.1016/j.cie.2010.01.010 – volume: 30 start-page: 709 issue: 4 year: 1982 ident: 10.1016/j.cie.2016.11.012_b0110 article-title: On the objective function behavior in (s, S) inventory models publication-title: Operations Research doi: 10.1287/opre.30.4.709 – volume: 38 start-page: 87 issue: 1 year: 1992 ident: 10.1016/j.cie.2016.11.012_b0150 article-title: On properties of stochastic inventory systems publication-title: Management Science doi: 10.1287/mnsc.38.1.87 – volume: Vol. 2 year: 2000 ident: 10.1016/j.cie.2016.11.012_b0155 – volume: 208 start-page: 155 issue: 1 year: 2013 ident: 10.1016/j.cie.2016.11.012_b0010 article-title: Monotonicity properties of a class of stochastic inventory systems publication-title: Annals of Operations Research doi: 10.1007/s10479-012-1125-2 – volume: 200 start-page: 279 issue: 1 year: 2012 ident: 10.1016/j.cie.2016.11.012_b0065 article-title: On computing optimal (Q, r) replenishment policies under quantity discounts publication-title: Annals of Operations Research doi: 10.1007/s10479-012-1071-z – volume: 39 start-page: 1771 issue: 7 year: 2012 ident: 10.1016/j.cie.2016.11.012_b0080 article-title: A hybrid polynomial-time algorithm for the dynamic quantity discount lot size model with resale publication-title: Computers & Operations Research doi: 10.1016/j.cor.2011.10.018 – volume: 19 start-page: 263 issue: 2 year: 2008 ident: 10.1016/j.cie.2016.11.012_b0090 article-title: A practical model for ordering in multi-product multi-constraint inventory systems with all-units quantity discounts publication-title: International Journal of Information and Management Sciences – volume: 24 start-page: 61 issue: 1 year: 1997 ident: 10.1016/j.cie.2016.11.012_b0040 article-title: Non-stationary ordering policies for multi-item inventory systems subject to a single resource constraint and quantity discounts publication-title: Computers & Operations Research doi: 10.1016/S0305-0548(96)00031-7 – volume: 3 start-page: 521 issue: 06 year: 2013 ident: 10.1016/j.cie.2016.11.012_b0095 article-title: Models for ordering multiple products subject to multiple constraints, quantity and freight discounts publication-title: American Journal of Operations Research doi: 10.4236/ajor.2013.36051 – ident: 10.1016/j.cie.2016.11.012_b0060 – volume: 22 start-page: 65 issue: 1 year: 1974 ident: 10.1016/j.cie.2016.11.012_b0115 article-title: A continuous-review (s, S) inventory system with arbitrary interarrival distribution between unit demand publication-title: Operations Research doi: 10.1287/opre.22.1.65 – volume: 217 start-page: 399 issue: 1 year: 2014 ident: 10.1016/j.cie.2016.11.012_b0105 article-title: Analysis of inventory policies for perishable items with fixed leadtimes and lifetimes publication-title: Annals of Operations Research doi: 10.1007/s10479-014-1590-x – volume: Vol. 10 year: 2003 ident: 10.1016/j.cie.2016.11.012_b0100 |
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| Snippet | •We model a practical problem in stochastic inventory systems which has not been investigated yet.•We prove the essential properties of an optimal... Resource constraint such as constraint on purchasing budget, and quantity discount are two common characteristics of inventory systems. While interacting these... |
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| SubjectTerms | (r, Q) policy Demand Discounts Incremental quantity discount Inventory Inventory management Limited price-dependent resource Mathematical models Optimization Policies Searching Stochastic discrete demand Stochasticity |
| Title | Optimal (r, Q) policy in a stochastic inventory system with limited resource under incremental quantity discount |
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