Economic lot size scheduling problem (ELSP) for a multi-product single machine system is a classical problem. This paper considers ELSP with budgetary constraint as an important aspect of such systems. In the real world situations the available funds for investment in inventory is limited. By adopting the common cycle time approach to ELSP, we obtain the optimal common cycle which minimizes the...

Commercialization of neglected and underutilized species is a reasonable pathway to food security, employment growth, reducing poverty. Pigeon pea one the crops with great economic value health benefits. Despite its potential, pigeon still minor crop. This study, therefore, examined level commercialization, influencing factors commercialization production constraints faced in Nigeria. The descr...

We propose a scenario where preheating occurs for specific duration that is parametrized by an e-folds number $N_{pre}$, our results suggest direct correlation between the and density of gravitational waves (GWs) produced during this phase. Moreover, we investigate consequences inflationary parameters on $\alpha$-attractor E model in small $\alpha$ limits. In framework, perform investigations i...

Firms regularly replace their old product generation by a newer to sustain and increase market share profit. The rollover problem of deciding on the number products be pre-produced before introduction new generation, then prices, sales volumes, production volumes during under capacity constraint is considered. Production limitations are common period product. We provide first study that examine...