Multi-item inventory models with price dependent demand under flexibility and reliability consideration and imprecise space constraint: A geometric programming approach

In this paper, multi-item economic production quantity (EPQ) models with selling price dependent demand, infinite production rate, stock dependent unit production and holding costs are considered. Flexibility and reliability consideration are introduced in the production process. The models are deve...

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Veröffentlicht in:Mathematical and computer modelling Jg. 49; H. 9; S. 1733 - 1749
Hauptverfasser: Panda, Debdulal, Maiti, Manoranjan
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Kidlington Elsevier Ltd 01.05.2009
Elsevier
Schlagworte:
Calculus of variations and optimal control
Exact sciences and technology
Flexibility and reliability
Generalized and modified geometric programming
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Possibility/necessity constraints
Sciences and techniques of general use
Possibility/necessity constraints
Generalized and modified geometric programming
Flexibility and reliability
Sensitivity analysis
Economic model
Scientific computation
Applied mathematics
Programming
Reliability
Mathematical model
Géométric measure
Computer aided analysis
ISSN:0895-7177, 1872-9479
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Zusammenfassung:In this paper, multi-item economic production quantity (EPQ) models with selling price dependent demand, infinite production rate, stock dependent unit production and holding costs are considered. Flexibility and reliability consideration are introduced in the production process. The models are developed under two fuzzy environments–one with fuzzy goal and fuzzy restrictions on storage area and the other with unit cost as fuzzy and possibility–necessity restrictions on storage space. The objective goal and constraint goal are defined by membership functions and the presence of fuzzy parameters in the objective function is dealt with fuzzy possibility/necessity measures. The models are formed as maximization problems. The first one—the fuzzy goal programming problem is solved using Fuzzy Additive Goal Programming (FAGP) and Modified Geometric Programming (MGP) methods. The second model with fuzzy possibility/necessity measures is solved by Geometric Programming (GP) method. The models are illustrated through numerical examples. The sensitivity analyses of the profit function due to different measures of possibility and necessity are performed and presented graphically.
ISSN:0895-7177
1872-9479
DOI:10.1016/j.mcm.2008.10.019