“…Shelf space planning considers facing and replenishment decisions (see e.g., Corstjens and Doyle, 1981), while assortment planning considers the question of which and how many different products to offer (Mantrala et al, 2009). In the past two decades, numerous models and analytical solutions have been proposed to deal with both areas of research (e.g., Anderson and Amato, 1974;Borin and Farris, 1995;Borin et al, 1994;Brijs et al, 2000;Brijs et al, 1999;Bultez and Naert, 1988;Bultez et al, 1989;Corstjens and Doyle, 1981;Corstjens and Doyle, 1983;Fad谋log lu et al, 2010;Hansen and Heinsbroek, 1979;Russell and Urban, 2010;Urban, 1998;Yang, 2001). In the shelf space planning literature, researchers traditionally apply the individual space elasticity and crosselasticity between products to determine which products to stock and how much shelf space to display these products, whereas, the main body of literature on assortment planning models is based on the estimation of substitution effects and develops optimization algorithms to define inventory levels by stochastic demand.…”