Asian Journal of Applied Sciences1996-3343xxxx-xxxxKnowledgia Review10.3923/ajaps.2008.110.122TaleizadehAta AllahAkhavan NiakiSeyed TaghiHosseiniSeyed Vahid2200812This study points out the real-world prevalence of the multiple-product
multiple-constraint Newsboy problem, i.e., the Newsstand problem, in which
not only there are incremental discounts on the purchasing prices, but
also the orders are placed in batch forms. The constraints are the service
levels and warehouse capacity. Moreover, the quantities of the orders
are integer multiples of packets, each containing more than one product.
The objective of this problem is to find the order quantities such that
the expected sum of the shortage, holding and purchasing costs is minimized.
We assume that the holding and shortage costs occur at the end of the
period; they are modeled by a quadratic function and that the decision
variables are integer. We present a formulation to the problem and show
that it is a integer nonlinear programming model. Finally, we provide
an efficient algorithm to solve the new problem and illustrate the results
with a numerical example.]]>Abdel-Malek, L.L., R. Montanari and L.C. Morales,200491189198Abdel-Malek, L.L. and R. Montanari,200597296307Abdel-Malek, L.L. and R. Montanari,20053220952116Abdel-Malek, L.L. and N. Areeratchakul,200717616071619Alfares, H.K. and H.H. Elmorra,200593-94465477Anvari, M.,198738625632Anvari, M. and M. Kusy,199019267272Atkinson, A.A.,197910341357Casimir, R.J.,2002304550Chen, M.S. and C.C. Chuang,200667269277Chung, K.H.,199041173176Dekker, A., J.B.G. Frenk, M.J. Kleijn and A.G. Kok,200032461469Gen, M. and R. Cheng,19971st Edn.,Holland, J.H.,1975Keren, B. and J.S. Pliskin,200617416431650Khouja, M.,199927537553Kogan, K. and S. Lou,2003149448458Lau, A.H.L. and H.S. Lau,198819392408Lau, H.S. and A.H.L. Lau,199513153162Lau, H.,198031525535Lau, H.S. and A.H.L. Lau,1996942942Lin, C.T. and H.Y. Tsai,200623123139Man, K.F., K.S. Tang, S. Kwong and W.A. Halang,19971st Edn.,Matsuyama, K.,2006171170188Mitchell, M.,19961st Edn.,Mostard, J. and R. Teunter,20061698196Pfeifer, P.E.,198920149157Reyes, P.M.,2005162257264Sen, A. and A.X. Zhang,199931431444Silver, E.A., D.F. Pyke and R. Peterson,19983rd Edn.,Pages: 754Pages: 754Vairaktarakis, G.L.,200066213226Weng, Z.K.,2004156148161