Inventory models for joint pricing and greening effort decisions with discounts

Purpose This paper aims to develop efficient decision support tools for a firm’s environment protection by using greening effort while yet improving profitability by utilizing pricing and inventory decisions with discount consideration. Design/methodology/approach This study proposed a mathematical model for price- and greening effort-dependent demand rate with discount considerations. Later, the mathematical model is extended to the situation in which the demand rate is also dependent on the stock level, in addition to the price and greening effort. Efficient solution methodologies are developed for finding the optimal solution to the proposed models. Findings Simple yet elegant models are proposed to mimic real-life applications. Structural properties of the models are explored to outline efficient algorithms with quantity discounts. Research limitations/implications The paper considers monopoly and assumes deterministic demand. Only a more commonly observed all-units discount scheme is studied. Practical implications The models provide decision support tools for firms in pursuit of joint profit maximization and environment consciousness goals. Social implications The study develops environment-friendly approaches for inventory management and improving the profitability alike. Originality/value This study is among the first to consider environmental protection with an investment in greening effort along with inventory management and pricing decision. The study also explored the effect of all-unit quantity discounts.

[1]  Jasbir S. Arora,et al.  Introduction to Optimum Design , 1988 .

[2]  M. Goh Some results for inventory models having inventory level dependent demand rate , 1992 .

[3]  R. Klassen,et al.  The impact of environmental management on firm performance , 1996 .

[4]  T. H. Burwell,et al.  Economic lot size model for price-dependent demand under quantity and freight discounts , 1997 .

[5]  C. O'Brien,et al.  Sustainable production - a new paradigm for a new millennium , 1999 .

[6]  H. Wee Deteriorating inventory model with quantity discount, pricing and partial backordering , 1999 .

[7]  M. Khouja Optimal ordering, discounting, and pricing in the single-period problem , 2000 .

[8]  T. Datta,et al.  An inventory system with stock-dependent, price-sensitive demand rate , 2001 .

[9]  M. Goh,et al.  PRICE-DEPENDENT INVENTORY MODELS WITH DISCOUNT OFFERS AT RANDOM TIMES* , 2009 .

[10]  K. Skouri,et al.  An inventory model with deteriorating items, quantity discount, pricing and time-dependent partial backlogging , 2003 .

[11]  Manoranjan Maiti,et al.  An inventory system of ameliorating items for price dependent demand rate , 2003, Comput. Ind. Eng..

[12]  Li Yao,et al.  A newsvendor pricing game , 2004, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[13]  S. Sana,et al.  A STOCK-REVIEW EOQ MODEL WITH STOCK-DEPENDENT DEMAND, QUADRATIC DETERIORATION RATE , 2004 .

[14]  P. C. Yang,et al.  Production , Manufacturing and Logistics Pricing strategy for deteriorating items using quantity discount when demand is price sensitive , 2004 .

[15]  S. Mukhopadhyay,et al.  An EOQ model with two-parameter Weibull distribution deterioration and price-dependent demand , 2005 .

[16]  S. Goyal,et al.  Optimal pricing and ordering policy under permissible delay in payments , 2005 .

[17]  P.-S. You,et al.  Inventory policy for products with price and time-dependent demands , 2005, J. Oper. Res. Soc..

[18]  Luk N. Van Wassenhove,et al.  Reverse Channel Design: The Case of Competing Retailers , 2006, Manag. Sci..

[19]  Charles J. Corbett,et al.  Extending the Horizons: Environmental Excellence as Key to Improving Operations , 2006, Manuf. Serv. Oper. Manag..

[20]  L.-C. Lin,et al.  An EOQ model for deteriorating items with price- and stock-dependent selling rates under inflation and time value of money , 2006, Int. J. Syst. Sci..

[21]  Yi-Chih Hsieh,et al.  An EOQ model with stock and price sensitive demand , 2007, Math. Comput. Model..

[22]  Samir K. Srivastava,et al.  Green Supply-Chain Management: A State-of-the-Art Literature Review , 2007 .

[23]  Gilvan C. Souza,et al.  Note: An application of the EOQ model with nonlinear holding cost to inventory management of perishables , 2007, Eur. J. Oper. Res..

[24]  Hesham K. Alfares,et al.  Inventory model with stock-level dependent demand rate and variable holding cost , 2007 .

[25]  L. Ouyang,et al.  RETAILER'S ORDERING POLICY FOR NON-INSTANTANEOUS DETERIORATING ITEMS WITH QUANTITY DISCOUNT, STOCK-DEPENDENT DEMAND AND STOCHASTIC BACKORDER RATE , 2008 .

[26]  Sameer Kumar,et al.  Cradle to cradle: Reverse logistics strategies and opportunities across three industry sectors , 2008 .

[27]  Sandra Transchel,et al.  Coordinated Lot-sizing and Dynamic Pricing under a Supplier All-units Quantity Discount , 2008 .

[28]  Luis A. San-José,et al.  Production , Manufacturing and Logistics Optimal policy for an inventory system with backlogging and all-units discounts : Application to the composite lot size model , 2008 .

[29]  Yong-Wu Zhou,et al.  A perishable inventory model under stock-dependent selling rate and shortage-dependent partial backlogging with capacity constraint , 2009, Int. J. Syst. Sci..

[30]  Robert Sroufe,et al.  EFFECTS OF ENVIRONMENTAL MANAGEMENT SYSTEMS ON ENVIRONMENTAL MANAGEMENT PRACTICES AND OPERATIONS , 2003 .

[31]  Maw-Sheng Chern,et al.  An inventory model under inflation for deteriorating items with stock-dependent consumption rate and partial backlogging shortages , 2010 .

[32]  Zhengping Ding An Inventory Coordination Scheme of Single-Period Products under Price-Dependent Demand , 2010, 2010 International Conference on E-Product E-Service and E-Entertainment.

[33]  Manoranjan Maiti,et al.  Two warehouse inventory models for single vendor multiple retailers with price and stock dependent demand , 2010 .

[34]  Guoqing Zhang,et al.  Jointly pricing and ordering for a multi-product multi-constraint newsvendor problem with supplier quantity discounts , 2011 .

[35]  Devendra K. Chaturvedi,et al.  A Fuzzy Particle Swarm Optimization for Solving the Economic Dispatch Problem , 2011, SocProS.

[36]  E. Plambeck,et al.  The greening of Walmart's supply chain-- revisited , 2011 .

[37]  Janat Shah,et al.  A comparative analysis of greening policies across supply chain structures , 2012 .

[38]  K. Lai,et al.  Optimal ordering and pricing policy with supplier quantity discounts and price-dependent stochastic demand , 2012 .

[39]  Luis A. San-José,et al.  Maximizing profits in an inventory model with both demand rate and holding cost per unit time dependent on the stock level , 2012, Comput. Ind. Eng..

[40]  Chung-Yuan Dye,et al.  An inventory model for deteriorating items under stock-dependent demand and controllable deterioration rate , 2012, Comput. Ind. Eng..

[41]  Angus Jeang Simultaneous determination of production lot size and process parameters under process deterioration and process breakdown , 2012 .

[42]  Sanjeev Swami,et al.  Channel coordination in green supply chain management , 2013, J. Oper. Res. Soc..

[43]  J. Sicilia,et al.  An economic lot-size model with non-linear holding cost hinging on time and quantity , 2013 .

[44]  Tapan Kumar Datta An Inventory Model with Price and Quality Dependent Demand Where Some Items Produced Are Defective , 2013, Adv. Oper. Res..

[45]  Xi Chen,et al.  The carbon-constrained EOQ , 2013, Oper. Res. Lett..

[46]  Shih-Pin Chen,et al.  Optimal inventory policy for the fuzzy newsboy problem with quantity discounts , 2013, Inf. Sci..

[47]  N. Ghasemi,et al.  EOQ Models with Varying Holding Cost , 2013 .

[48]  Hung-Chi Chang,et al.  A note on an economic lot size model for price-dependent demand under quantity and freight discounts , 2013 .

[49]  Dincer Konur,et al.  Joint Replenishment Problem with Carbon Emissions Constraint , 2014 .

[50]  Hesham K. Alfares Production-inventory system with finite production rate, stock-dependent demand, and variable holding cost , 2014, RAIRO Oper. Res..

[51]  N. Shah ORDERING POLICY FOR INVENTORY MANAGEMENT WHEN DEMAND IS STOCK- DEPENDENT AND A TEMPORARY PRICE DISCOUNT IS LINKED TO ORDER QUANTITY , 2014 .

[52]  Ilkyeong Moon,et al.  Manufacturing setup cost reduction and quality improvement for the distribution free continuous-review inventory model with a service level constraint , 2015 .

[53]  V. Hovelaque,et al.  The carbon-constrained EOQ model with carbon emission dependent demand , 2015 .

[54]  J. Sicilia,et al.  Analysis of an EOQ inventory model with partial backordering and non-linear unit holding cost , 2015 .

[55]  Janat Shah,et al.  Supply chain analysis under green sensitive consumer demand and cost sharing contract , 2015 .

[56]  R. Tripathi,et al.  Optimal order policy for deteriorating items with time-dependent demand in response to temporary price discount linked to order quantity , 2015 .

[57]  M. J. Drake,et al.  Socially Responsible Supply Chain Management for a Competitive Advantage , 2015 .

[58]  S. A. Raza The impact of differentiation price and demand leakage on a firm’s profitability , 2015 .

[59]  Hesham K. Alfares Maximum-Profit Inventory Model with Stock-Dependent Demand, Time-Dependent Holding Cost, and All-Units Quantity Discounts , 2015 .

[60]  Dinçer Konur,et al.  Economic and environmental comparison of grouping strategies in coordinated multi-item inventory systems , 2016, J. Oper. Res. Soc..

[61]  Bowon Kim,et al.  Supply Chain Coordination and Consumer Awareness for Pollution Reduction , 2016 .

[62]  B. Li,et al.  Pricing policies of a competitive dual-channel green supply chain , 2016 .

[63]  Hesham K. Alfares,et al.  Inventory and pricing model with price-dependent demand, time-varying holding cost, and quantity discounts , 2016, Comput. Ind. Eng..