In Hindu philosophy, Swami Sevaka Sambandha literally is the relationship between a master and a servant. This is one of the nine relationships between jivatma (individual self recognized servant) and Paramatma (Supreme Self recognized as the master). Paramatma is always independent like a master. The servant is always expected to be obedient and subservient to the master, being paratantra, and is called kinkara. The devotee is said to possess dasya bhava, which is the chief characteristic of the relation between the master and the servant. It is also called as Sesha-Seshi-Bhava, representing the dependence of the individual self on the Universal Self.
Lakshmana in the Ramayana was an embodiment of service to his master Ramachandra. This relationship is an example for a jivatma to be a servant to the Parmatma. It is called kainkaryasri (the wealth of service). Lakshmana was implicitly obedient to Rama, showing his bhagavad kainkarya. Similarly, Shatrughna was a dutiful younger brother to Bharata being an exemplary character of bhagavatha kainkarya.
A reference is made in the Mahabharata as well where Arjuna, Bhima, Nakula and Sahadeva unconditionally obeyed the orders of their master Dharmaraja (Yudhisthira, their elder brother).
This relationship is absolutely necessary for a disciple to excel. Obedience to elders brings forth a lot of good to youngsters, which is represented by this Swami Sevaka relationship. Swami should be an ideal character, being an embodiment of righteous conduct and universal brotherhood, like Ramachandra to Dharmaraja. A servant should be ever ready to serve the master at all times, with fervor and interest, and he should be an embodiment of implicit obedience.