Abstract




 
   

IJE TRANSACTIONS C: Aspects Vol. 27, No. 9 (September 2014) 1385-1394    Article Under Proof

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  JOINT PRICING AND INVENTORY CONTROL FOR SEASONAL AND SUBSTITUTABLE GOODS MENTIONING THE SYMMETRICAL AND ASYMMETRICAL SUBSTITUTION
 
N. Rasouli and I. Nakhai Kamalabadi
 
( Received: January 14, 2014 – Accepted: May 22, 2014 )
 
 

Abstract    Nowadays many well-known firms may produce similar products at different prices in order to remain in the competitive environment. The price differences may cause substitution condition which motivates the customers to substitute the similar cheaper product with an expensive one leading to an environment which is known as “customer-based price driven substitution”. This research proposes a new mathematical model towards a joint pricing and inventory control for seasonal and substitutable goods in a competitive market over a finite time planning horizon. It is assumed that the two substitute goods belong to two different rival firms. The objective is to determine the optimal price, order quantity and the number of periods for one product in the presence of symmetrical and asymmetrical substitutions such that the total profit of the related firm is maximized. Firs tit is showed that total profit is a concave function of price which leads us to a unique optimal solution. To provide the optimal solution a simple algorithm is developed. Finally, in order to evaluate the performance of proposed algorithm a numerical example is presented.

 

Keywords    pricing, inventory control, seasonal and substitutable goods, symmetrical and asymmetrical substitution

 

چکیده    امروزه بسیاری از بنگاههای شناخته شده محصولات مشابه را با قیمتهای مختلف تولید می­کنند. گاهی اختلاف قیمتی سبب می­شود تا مشتریان کالای مشابه ارزانتر را جایگزین کالای گرانتر کنند که این جایگزینی بر مبنای مشتری و بر اساس تفاوت قیمتی نام دارد. در این تحقیق مدل ریاضی قیمت­گذاری پویا و کنترل موجودی برای کالاهای فصلی و جایگزین در بازار رقابتی توسعه داده شده است. فرض بر این است که دو کالای جایگزین مربوط به دو بنگاه رقیب هستند. مدل ریاضی به دنبال تعیین همزمان قیمت دوره­ای، تعداد بهینه دوره و میزان سفارش یک بنگاه با هدف افزایش سود آن بنگاه است. جایگزینی در این تحقیق بر مبنای مشتری و بر اساس تفاوت قیمتی در نظر گرفته شده و در دو حالت متقارن و نامتقارن بررسی می­شود. بعد از ارائه مدل اثبات می‌شود که تابع هدف، تابعی مقعرنسبت به قیمت است، سپس الگوریتم حل مساله ارائه شده و در نهایت مثال عددی به منظور بررسی کارایی مدل و الگوریتم بحث می­شود.

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