Analyzing price, warranty length, and service capacity under a fuzzy environment: Genetic algorithm and fuzzy system

Abstract In this article, we propose a bi-objective model for the pricing–queuing problem under a fuzzy environment. We consider two objectives: maximizing the profit function and minimizing the waiting time in queue. Imagine a firm which sells a product in a channel providing after sales services. The sales price and warranty length affect customer demand. We formulate the demand function as a fuzzy system considering the sales price and warranty length. The firm optimizes the sales price and warranty length, as well as waiting time, in the queue of after sales services, to maximize its revenues and minimize waiting time. To solve the derived model, we develop a hybrid solution method of a fuzzy system and a genetic algorithm. Finally, the numerical analysis is done to show the reasonable performance of the solution method and results.

[1]  Jae-Dong Son Optimal admission and pricing control problem with deterministic service times and sideline profit , 2008, Queueing Syst. Theory Appl..

[2]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[3]  Seyed Taghi Akhavan Niaki,et al.  A multi-objective facility location model with batch arrivals: two parameter-tuned meta-heuristic algorithms , 2013, J. Intell. Manuf..

[4]  Vineet Padmanabhan,et al.  Warranty Policy and Extended Service Contracts: Theory and an Application to Automobiles , 1993 .

[5]  Hui-Ming Wee,et al.  An integrated production-inventory deteriorating model for pricing policy considering imperfect production, inspection planning and warranty-period- and stock-level-dependant demand , 2008, Int. J. Syst. Sci..

[6]  John Holland,et al.  Adaptation in Natural and Artificial Sys-tems: An Introductory Analysis with Applications to Biology , 1975 .

[7]  L. Zadeh From Computing with Numbers to Computing with Words , 2001 .

[8]  Xavier Gandibleux,et al.  Multiple Criteria Optimization: State of the Art Annotated Bibliographic Surveys , 2013 .

[9]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[10]  C. Chou,et al.  Optimal price, warranty length and production rate for free replacement policy in the static demand market , 2009 .

[11]  Lotfi A. Zadeh,et al.  From Computing with Numbers to Computing with Words - from Manipulation of Measurements to Manipulation of Perceptions , 2005, Logic, Thought and Action.

[12]  Suman Mallik,et al.  Design of Extended Warranties in Supply Chains , 2005 .

[13]  Lotfi A. Zadeh,et al.  Fuzzy logic = computing with words , 1996, IEEE Trans. Fuzzy Syst..

[14]  Euthemia Stavrulaki,et al.  Capacity and price setting for dispersed, time-sensitive customer segments , 2008, Eur. J. Oper. Res..

[15]  Bowon Kim,et al.  Optimal pricing, EOL (end of life) warranty, and spare parts manufacturing strategy amid product transition , 2008, Eur. J. Oper. Res..

[16]  William Boulding,et al.  A consumer-side experimental examination of signaling theory: Do , 1993 .

[17]  Mark E. Lewis,et al.  Optimal Pricing and Admission Control in a Queueing System with Periodically Varying Parameters , 2004, Queueing Syst. Theory Appl..

[18]  Hans-Jürgen Zimmermann,et al.  Fuzzy Set Theory - and Its Applications , 1985 .

[19]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[20]  Yezekael Hayel,et al.  Optimal Measurement-based Pricing for an M/M/1 Queue , 2007 .

[21]  Fikri Karaesmen,et al.  Dynamic pricing and scheduling in a multi-class single-server queueing system , 2011, Queueing Syst. Theory Appl..

[22]  Oded Berman,et al.  Optimizing capacity, pricing and location decisions on a congested network with balking , 2011, Math. Methods Oper. Res..

[23]  Tamer Boyaci,et al.  Product Differentiation and Capacity Cost Interaction in Time and Price Sensitive Markets , 2003, Manuf. Serv. Oper. Manag..

[24]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[25]  H. Zimmermann,et al.  Fuzzy Set Theory and Its Applications , 1993 .