New product launch decisions with robust optimization
We consider a problem where a company must decide the order in which to launch new products within a given time horizon and budget constraints, and where the parameters of the adoption rate of these new products are subject to uncertainty. This uncertainty can bring significant change to the optimal...
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| Vydáno v: | Computational management science Ročník 13; číslo 2; s. 263 - 292 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Berlin/Heidelberg
Springer Berlin Heidelberg
01.04.2016
Springer Nature B.V |
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| ISSN: | 1619-697X, 1619-6988 |
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| Abstract | We consider a problem where a company must decide the order in which to launch new products within a given time horizon and budget constraints, and where the parameters of the adoption rate of these new products are subject to uncertainty. This uncertainty can bring significant change to the optimal launch sequence. We present a robust optimization approach that incorporates such uncertainty on the Bass diffusion model for new products as well as on the price response function of partners that collaborate with the company in order to bring its products to market. The decision-maker optimizes his worst-case profit over an uncertainty set where nature chooses the time periods in which (integer) units of the budgets of uncertainty are used for worst impact. This leads to uncertainty sets with binary variables. We show that a conservative approximation of the robust problem can nonetheless be reformulated as a mixed integer linear programming problem, is therefore of the same structure as the deterministic problem and can be solved in a tractable manner. Finally, we illustrate our approach on numerical experiments. Our model also incorporates contracts with potential commercialization partners. The key output of our work is a sequence of product launch times that protects the decision-maker against parameter uncertainty for the adoption rates of the new products and the response of potential partners to partnership offers. |
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| AbstractList | We consider a problem where a company must decide the order in which to launch new products within a given time horizon and budget constraints, and where the parameters of the adoption rate of these new products are subject to uncertainty. This uncertainty can bring significant change to the optimal launch sequence. We present a robust optimization approach that incorporates such uncertainty on the Bass diffusion model for new products as well as on the price response function of partners that collaborate with the company in order to bring its products to market. The decision-maker optimizes his worst-case profit over an uncertainty set where nature chooses the time periods in which (integer) units of the budgets of uncertainty are used for worst impact. This leads to uncertainty sets with binary variables. We show that a conservative approximation of the robust problem can nonetheless be reformulated as a mixed integer linear programming problem, is therefore of the same structure as the deterministic problem and can be solved in a tractable manner. Finally, we illustrate our approach on numerical experiments. Our model also incorporates contracts with potential commercialization partners. The key output of our work is a sequence of product launch times that protects the decision-maker against parameter uncertainty for the adoption rates of the new products and the response of potential partners to partnership offers. Issue Title: Robust Optimization and Applications We consider a problem where a company must decide the order in which to launch new products within a given time horizon and budget constraints, and where the parameters of the adoption rate of these new products are subject to uncertainty. This uncertainty can bring significant change to the optimal launch sequence. We present a robust optimization approach that incorporates such uncertainty on the Bass diffusion model for new products as well as on the price response function of partners that collaborate with the company in order to bring its products to market. The decision-maker optimizes his worst-case profit over an uncertainty set where nature chooses the time periods in which (integer) units of the budgets of uncertainty are used for worst impact. This leads to uncertainty sets with binary variables. We show that a conservative approximation of the robust problem can nonetheless be reformulated as a mixed integer linear programming problem, is therefore of the same structure as the deterministic problem and can be solved in a tractable manner. Finally, we illustrate our approach on numerical experiments. Our model also incorporates contracts with potential commercialization partners. The key output of our work is a sequence of product launch times that protects the decision-maker against parameter uncertainty for the adoption rates of the new products and the response of potential partners to partnership offers. |
| Author | Thiele, Aurélie Cetinkaya, Elcin |
| Author_xml | – sequence: 1 givenname: Elcin surname: Cetinkaya fullname: Cetinkaya, Elcin organization: Lehigh University – sequence: 2 givenname: Aurélie surname: Thiele fullname: Thiele, Aurélie email: aut204@lehigh.edu organization: Lehigh University |
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| Cites_doi | 10.1287/mksc.5.2.169 10.1016/j.ejor.2003.10.046 10.1016/0148-2963(88)90079-3 10.1287/mnsc.15.5.215 10.1287/mksc.13.3.203 10.1016/j.disopt.2006.12.002 10.2307/3149462 10.1016/S0048-7333(99)00092-X 10.1287/mksc.1.1.57 10.1287/mnsc.32.2.194 10.1016/0040-1625(85)90048-4 10.1016/0040-1625(80)90013-X 10.1287/mksc.21.3.318.139 10.2307/1252170 10.1287/opre.1120.1063 10.1287/opre.1030.0065 10.2307/3172552 10.1287/mnsc.2013.1881 |
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| DOI | 10.1007/s10287-015-0237-y |
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| References | Bertsimas, Sim (CR4) 2004; 52 Geroski (CR11) 2000; 29 Lilien, Rangaswamy, Bruyn (CR16) 2007 Young, Ord (CR27) 1985; 28 Kamrad, Lee, Siddique, Thomas (CR14) 2005; 164 CR18 Bass, Krishnan, Jain (CR3) 1994; 13 CR10 Cetinkaya, Thiele (CR8) 2014 Tidd (CR25) 2006 Kumar, Krishnan (CR15) 2002; 21 Sultan, Farley, Lehmann (CR24) 1990; 27 Arndt (CR1) 1967; 4 Mahajan, Muller, Bass (CR17) 1990; 54 Rogers (CR20) 1983 Srinivasan, Mason (CR23) 1986; 5 CR7 Kalish, Lilien (CR13) 1986; 32 Rusmevichientong, Topaloglu (CR21) 2012; 60 Bass (CR2) 1969; 15 CR26 Bienstock, Ozbay (CR5) 2008; 5 Nemhauser, Wolsey (CR19) 1999 Bretschneider, Mahajan (CR6) 1980; 18 Duzgun, Thiele (CR9) 2010 Hyman (CR12) 1988; 16 Schmittlein, Mahajan (CR22) 1982; 1 V Mahajan (237_CR17) 1990; 54 P Young (237_CR27) 1985; 28 FM Bass (237_CR3) 1994; 13 D Bertsimas (237_CR4) 2004; 52 237_CR7 237_CR18 GL Lilien (237_CR16) 2007 S Kalish (237_CR13) 1986; 32 SI Bretschneider (237_CR6) 1980; 18 237_CR10 F Sultan (237_CR24) 1990; 27 FM Bass (237_CR2) 1969; 15 P Geroski (237_CR11) 2000; 29 D Bienstock (237_CR5) 2008; 5 P Rusmevichientong (237_CR21) 2012; 60 DC Schmittlein (237_CR22) 1982; 1 J Tidd (237_CR25) 2006 GL Nemhauser (237_CR19) 1999 EM Rogers (237_CR20) 1983 R Duzgun (237_CR9) 2010 J Arndt (237_CR1) 1967; 4 237_CR26 V Srinivasan (237_CR23) 1986; 5 E Cetinkaya (237_CR8) 2014 V Kumar (237_CR15) 2002; 21 B Kamrad (237_CR14) 2005; 164 MR Hyman (237_CR12) 1988; 16 |
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end-page: 77 ident: CR24 article-title: A meta-analysis of diffusion models publication-title: J Mark Res doi: 10.2307/3172552 – ident: CR26 – volume: 16 start-page: 31 issue: 1 year: 1988 ident: 237_CR12 publication-title: J Bus Res doi: 10.1016/0148-2963(88)90079-3 – volume: 21 start-page: 318 issue: 3 year: 2002 ident: 237_CR15 publication-title: Mark Sci doi: 10.1287/mksc.21.3.318.139 – volume: 32 start-page: 194 issue: 2 year: 1986 ident: 237_CR13 publication-title: Manag Sci doi: 10.1287/mnsc.32.2.194 – volume: 54 start-page: 1 issue: 1 year: 1990 ident: 237_CR17 publication-title: J Mark doi: 10.2307/1252170 – volume: 5 start-page: 389 year: 2008 ident: 237_CR5 publication-title: Discrete Optim doi: 10.1016/j.disopt.2006.12.002 – volume-title: Diffusion of innovations year: 1983 ident: 237_CR20 – volume: 15 start-page: 215 issue: 5 year: 1969 ident: 237_CR2 publication-title: Manag Sci doi: 10.1287/mnsc.15.5.215 – volume: 13 start-page: 204 issue: 3 year: 1994 ident: 237_CR3 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| SubjectTerms | Budgeting Business and Management Collaboration Communication channels Customer services Decision making Decisions Durable goods Growth models Innovations Launches Linear programming Markets Mathematical models Operations Research/Decision Theory Optimization Optimization techniques Original Paper Pharmaceutical industry Product development Product introduction Studies Technology adoption Uncertainty |
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| Title | New product launch decisions with robust optimization |
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