In developing countries, rural and semi-urban markets remain open for a particular period of time in a day, and items’ availabilities and prices vary within the opening hours of a market. Nowadays, the Internet of Things (IoT) and Type-2 fuzzy logic (T2FL) systems are used to make real-time decisions. With the logistical and infrastructural development around the world, there are several alternate routes for travel between different markets and cities. Taking the above realities into consideration, here, we develop and analyze IoT-enabled and T2FL system-based multipath traveling purchaser problems with time-dependent market structure (IoT-T2FL-MPTPPswTDMS). In this study, information regarding weather, road surface, and congestion concerning different paths obtained by the IoT are used as inputs in T2FL, and path-wise, the vehicle’s average velocity is obtained using the fuzzy rules. Item availability and price in a particular market change with time. The optimization problem is, for different journey starting times, to select the appropriate markets for the purchase and the corresponding optimum routing path for minimum cost (time) against time (cost) constraint. A multi parent, varied-offspring, variable length quantum-inspired genetic algorithm (MPVOVLQiGA) with quantum selection and mutation and multi parent, varied-offspring crossover is developed to solve the proposed problems. For children, mimicking the real-life parental system, In vitro fertilization (IVF) and adopted child (if IVF failed) are considered alongwith the usual comparison crossover. The algorithm’s superiority is established through a statistical test. A real-life model is numerically illustrated. The dependence on the minimum cost and time on the journey’s commencement time is demonstrated.
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